Find the equation of the line perpendicular to 2x + 3y = -5 and passing through (3, -5). Write the equation in standard form.

3x - 2y = 19

Step-by-step explanation:

y = mx + b

The slopes of perpendicular lines are opposite reciprocals:

= - 1

~~~~~~~~~~~~

2x + 3y = - 5

y = - x -

(3 , - 5 )

Slope of perpendicular line is

y - ( - 5) = (x - 3)

y + 5 = x -  

y = x -

3x - 2y = 19

1

step-by-step explanation:

it's the only multiple of both and the least

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;